Analytical approximation for the structure of differentially rotating barotropes

Details Analytical approximation for the structure of differentially rotating barotropes Analytical approximation for the structure of differentially rotating barotropes

2003-06-29

arxiv.org/abs/astro-ph/0306607v1

Mon.Not.Roy.Astron.Soc. 345 (2003) 497-505

Astronomy and Astrophysics

Astrophysics

10 pages, 13 figures, accepted for publication in Monthly Notices

Scientific paper

10.1046/j.1365-8711.2003.06951.x

Approximate analytical formula for density distribution in differentially rotating stars is derived. Any barotropic EOS and conservative rotation law can be handled with use of this method for wide range of differential rotation strength. Results are in good qualitative agreement with comparison to the other methods. Some applications are suggested and possible improvements of the formula are discussed.

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